3507005290000 has 225 divisors, whose sum is σ = 8660495770641. Its totient is φ = 1375310880000.

The previous prime is 3507005289961. The next prime is 3507005290007. The reversal of 3507005290000 is 925007053.

It is a happy number.

The square root of 3507005290000 is 1872700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3470306991376 + 36698298624 = 1862876^2 + 191568^2 .

It is a super-2 number, since 2×3507005290000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3507005290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11423469847 + ... + 11423470153.

Almost surely, 2^{3507005290000} is an apocalyptic number.

3507005290000 is the 1872700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3507005290000

3507005290000 is an abundant number, since it is smaller than the sum of its proper divisors (5153490480641).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3507005290000 is an frugal number, since it uses more digits than its factorization.

3507005290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The spelling of 3507005290000 in words is "three trillion, five hundred seven billion, five million, two hundred ninety thousand".